IGNOU BECC-102 December 2022 Previous Year Question Paper

Q1.The output X of a manufacturer is related to the size of the labour force L by the relation : X=91L+ 16L?-L?

(a) Find Marginal Product of Labour (MP;) and Average Product of Labour (AP) functions.

(b) At what size of labour force does AP; reach maximum ?

(c) If wage rate is 60 per unit of labour, find marginal cost as a function of labour.

Q2.(a) What is a non-linear difference equation ? Why do we need to linearise it and how is it done ? 12

(b) What are phase diagrams ? What are they used for ?

Q3.A firm has the following Revenue and Cost functions : MR(Q) = 22 - 2Q MC(Q) = 2Q” - 6Q +6 Fixed Cost = 0

(a) Formulate the total profit function (x) in terms of Q. 6

(b) Find the profit maximising level of output Q. 8

(c) What is the maximum profit ?

Q4.(a) What is the difference between homogeneous and non-homogeneous difference equations ?

(b) Solve the difference equation : Veer ~ 29, = Lat

Q5.Explain the concepts of axiom, proposition and corollary.

Q6.(a) Find:

(b) Examine the continuity of the function : 3 2 _ f(x) = wee ces x*-4

Q7.Differentiate between the following concepts with suitable examples :

(a) Exponential function and Power function

(b) Arithmetic progression and Geometric progression

Q8.A market has the following demand and supply functions : Pg = 18- 2x- x? Demand Function Py =2x-3 Supply Function Find the Producer Surplus and the Consumer Surplus.

Q9.The demand for product x is given as Q=-110P+0-32Y, where Q is quantity demanded, P is price and Y is income. Find the income elasticity of demand when income is = 20,000 and price is = 5.

Q10.(a) Find the equation of the circle with centre (2, — 8) and radius 6.

(b) Show that the graph of the equation : x? + 6x = 3 + Gy is a parabola.

Q11.Explain the following concepts :

(a) Properties of Relations

(b) Limit of a Sequence